The mutual inductance of the system of two coils is $5 m H$ . The current in the first coil varies according to the equation $I = I_{o} sin w t$ where $I_{o} = 10 A$ and $W = 100 π r a d / s$ . The value of maximum induced emf in the second coil is _______

2 π V

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π V

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5 π V

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4 π V

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Solution

The correct option is C $5 π V$
$E m f = M \cdot \frac{d i}{d t} = 5 \times 10^{- 3} \times I_{o} ω cos ω t {(E m f)}_{m a x} = 5 \times 10^{- 3} \times I_{o} ω = 5 \times 10^{- 3} \times 10 \times 100 π = 5 π V$

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The mutual inductance of the system of two coils is 5mH. The current in the first coil varies according to the equation I=Iosinwt where Io=10A and W=100πrad/s. The value of maximum induced emf in the second coil is _______

The correct option is C 5πVEmf=M⋅didt=5×10−3×Ioωcosωt(Emf)max=5×10−3×Ioω=5×10−3×10×100π=5πV

The mutual inductance of the system of two coils is $5 m H$ . The current in the first coil varies according to the equation $I = I_{o} sin w t$ where $I_{o} = 10 A$ and $W = 100 π r a d / s$ . The value of maximum induced emf in the second coil is _______

The correct option is C $5 π V$
$E m f = M \cdot \frac{d i}{d t} = 5 \times 10^{- 3} \times I_{o} ω cos ω t {(E m f)}_{m a x} = 5 \times 10^{- 3} \times I_{o} ω = 5 \times 10^{- 3} \times 10 \times 100 π = 5 π V$